Question

prove that 6+underoot 2 is an irrational number​

Answer 1

Answer:

what a simple Question ❓❓❓❓❓❓❓❓

Answer 2

Let us assume to the contrary that 6+√2 is a rational no.

Then 6+√2 = a/b ( where a and b are co primes and b is not equal to 0)

6+√2 = a/b

transpose 6 to RHS

√2= a/b-6/1

But we know root 2 is a irrational number. So this statement is fall.

This contradicts our assumption that a and b are co primes. Hence 6+√2 is a irrational no